Integer Programming on Domains Containing Inseparable Ordered Pairs

Busetto, F.; Codognato, G.; Tonin, S.

Abstract

Using the integer programming approach introduced by Sethuraman, Teo, and Vohra (2003), we extend the analysis of the preference domains containing an inseparable ordered pair, initiated by Kalai and Ritz (1978). We show that these domains admit not only Arrovian social welfare functions “without ties,” but also Arrovian social welfare functions “with ties,” since they satisfy the strictly decomposability condition introduced by Busetto, Codognato, and Tonin (2015). Moreover, we go further in the comparison between Kalai and Ritz (1978)’s inseparability and Arrow (1963)’s single-peak restrictions, showing that the former condition is more “respectable,” in the sense of Muller and Satterthwaite (1985).

Citation

Busetto, F., Codognato, G., & Tonin, S. (2018). Integer Programming on Domains Containing Inseparable Ordered Pairs. Research in Economics, 72(4), 428-434. https://doi.org/10.1016/j.rie.2018.08.001

• Journal Article Type: Article
• Acceptance Date: Aug 17, 2018
• Online Publication Date: Aug 21, 2018
• Publication Date: Dec 1, 2018
• Deposit Date: Aug 28, 2018
• Publicly Available Date: Feb 21, 2020
• Journal: Research in Economics
• Print ISSN: 1090-9443
• Electronic ISSN: 1090-9451
• Publisher: Elsevier
• Peer Reviewed: Peer Reviewed
• Volume: 72
• Issue: 4
• Pages: 428-434
• DOI: https://doi.org/10.1016/j.rie.2018.08.001
• Public URL: https://durham-repository.worktribe.com/output/1316141